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Solution to a differential equation asked In engineering CET exam

B.sudhakar

19/02/2017 3 0

Solve the diff eqn dy/y + dx/x =0

Let's rearrange by shifting x components to right hand side

dy / y = - dx /x. ( variable seperable eqn )

Integrating both sides

∫ 1/y dy = - ∫ 1/x dx

= log | y | = - log | x | + log c ( we can multiply constant c with log )

= log | y | = log c - log | x |

= log | y | = log ( c / x ). ( we can remove log on both sides

= y = c / x or ( y • x ) = c and it is the solution

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